On my hillclimb 450 I have run 12/56, its not stock and revs to the moon and works well. The sprockets are the same spline as a KX250 and I think a yamaha 450, the problem is the seal area rubs with the 250 sprocket. I have used a 250 sprocket and relieved it in the seal area. I do know that my dealer was able to get 12t sprockets for some of the guys and have seen sprockets as well, Vortex makes mine, I go from 42-59. 11 is pretty small, I'm suprised it will clear the seal lip.
good luck getting the sprocket off, whoever tightened the sprockets must have lost their torque wrench, the first one I did I had to use a 3/4 air wrench to get off